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LearnCambridge97092026–2027Paper 2

Paper 2

Pure Mathematics 2

Algebra

Modulus graphs and equations · Modulus inequalities · Polynomials: division, factor and remainder theorems3 subtopic lessons

Logarithmic and exponential functions

Laws of logarithms · The functions eˣ and ln x · Exponential equations and inequalities · Logarithmic equations · Exponential models and linear forms5 subtopic lessons

Trigonometry

Reciprocal functions and their identities · Compound-angle formulae · Double-angle formulae · The R-form (harmonic form)4 subtopic lessons

Differentiation

Derivatives of eˣ, ln x and trigonometric functions · The product and quotient rules · Implicit differentiation · Parametric differentiation · Stationary points and tangents5 subtopic lessons

Integration

Integrating eˣ, 1/x and trigonometric functions · Integration using trigonometric identities · Exact definite integrals and logarithms · The trapezium rule4 subtopic lessons

Numerical solution of equations

Locating roots: sketches and sign changes · Fixed-point iteration · Rearrangements, staircases and cobwebs3 subtopic lessons